septentrigintagonal

Septentrigintagonal refers to a polygon with 37 sides. The term is derived from Latin, with "septem" meaning seven, "triginta" meaning thirty, and "gonia" meaning angle or corner. Therefore, a septentrigintagonal shape has 37 angles and 37 sides. In geometry, a polygon is a closed shape in a plane made of straight line segments. The number of sides of a polygon determines its specific name. For instance, a polygon with 3 sides is a triangle, and one with 4 sides is a quadrilateral. Polygons with a large number of sides are often named using numerical prefixes.

A regular septentrigintagonal polygon has 37 equal sides and 37 equal interior angles. The sum of the interior angles of any septentrigintagonal polygon can be calculated using the formula (n-2) * 180 degrees, where n is the number of sides. For a septentrigintagonal, this would be (37-2) * 180 = 35 * 180 = 6300 degrees. In a regular septentrigintagonal polygon, each interior angle measures 6300 / 37 degrees, which is approximately 170.27 degrees. The exterior angles of any polygon sum to 360 degrees. Thus, each exterior angle of a regular septentrigintagonal polygon measures 360 / 37 degrees, approximately 9.73 degrees.

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